What is the Greatest Common Factor of 95770 and 95790?

Greatest common factor (GCF) of 95770 and 95790 is 10.

GCF(95770,95790) = 10

We will now calculate the prime factors of 95770 and 95790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95770 and 95790.

How to find the GCF of 95770 and 95790?

We will first find the prime factorization of 95770 and 95790. After we will calculate the factors of 95770 and 95790 and find the biggest common factor number .

Step-1: Prime Factorization of 95770

Prime factors of 95770 are 2, 5, 61, 157. Prime factorization of 95770 in exponential form is:

95770 = 2¹ × 5¹ × 61¹ × 157¹

Step-2: Prime Factorization of 95790

Prime factors of 95790 are 2, 3, 5, 31, 103. Prime factorization of 95790 in exponential form is:

95790 = 2¹ × 3¹ × 5¹ × 31¹ × 103¹

Step-3: Factors of 95770

List of positive integer factors of 95770 that divides 95770 without a remainder.

1, 2, 5, 10, 61, 122, 157, 305, 314, 610, 785, 1570, 9577, 19154, 47885

Step-4: Factors of 95790

List of positive integer factors of 95790 that divides 95770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 103, 155, 186, 206, 309, 310, 465, 515, 618, 930, 1030, 1545, 3090, 3193, 6386, 9579, 15965, 19158, 31930, 47895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95770 and 95790. The biggest common factor number is the GCF number.
So the greatest common factor 95770 and 95790 is 10.

Also check out the Least Common Multiple of 95770 and 95790